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... We cannot have t = 1. Also, £ is prime if and only if §(m) = 1. In this case, m = 1 or 2, and we have Schinzel?s solutions, in (i). Suppose now that t is composite. If (j) (777) = 2, then 77? = 3, 4, or 6 and £..- 1 = 2 <(>(£). Cohen and Hagis [2] showed in this case that oo(t) > 14. These are the s ...
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... Your task is to determine the minimum value r ≥ 0 where Ar + Br + Cr + Dr + Er ≥ M for some integer M. In the example above, if M = 50, then r = 4, because: A4 + B4 + C4 + D4 + E4 = 6 + 13 + 29 + 31 + 17 = 96. You can check for k = 0..3, there will be no k such that the sum of Ak..Ek is no less than ...
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Mathematics of radio engineering



The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.
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